Solve x+1/2x-1=5

$$\frac{ x+1 }{ 2x-1 } =5$$

Solve for x

$$x=\frac{2}{3}\approx 0.666666667$$

Steps for Solving Linear Equation

Variable x cannot be equal to \frac{1}{2} since division by zero is not defined. Multiply both sides of the equation by 2x-1.

$$x+1=5\left(2x-1\right)$$

Use the distributive property to multiply 5 by 2x-1.

$$x+1=10x-5$$

Subtract 10x from both sides.

$$x+1-10x=-5$$

Combine x and -10x to get -9x.

$$-9x+1=-5$$

Subtract 1 from both sides.

$$-9x=-5-1$$

Subtract 1 from -5 to get -6.

$$-9x=-6$$

Divide both sides by -9.

$$x=\frac{-6}{-9}$$

Reduce the fraction \frac{-6}{-9} to lowest terms by extracting and canceling out -3.

$$x=\frac{2}{3}$$